Some generalized fractional trapezoid and Ostrowski type inequalities for functions with bounded partial derivatives

Budak H., Ozcelik K.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.44, sa.18, ss.14643-14663, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 18
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.7733
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.14643-14663
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we first prove three identities for twice partially differentiable functions. Then, by using these equalities, we obtain several trapezoid and Ostrowski type inequalities via generalized fractional integrals for functions with bounded partial derivatives. Moreover, we present some results for Riemann-Liouville fractional integrals by special choice of main results.